A. Kanel-Belov

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20082023

most citedOn the tame authomorphism approximation, augmentation Topology of Automorphism Groups and

I n d

-schemes, and authomorphisms of tame automorphism groups

13 citations · 33 across the 14 of their papers we have counts for

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math.MG2023

Dimension-free estimates on distances between subsets of volume $ε$ inside a unit-volume body

Abdulamin Ismailov, Alexei Kanel-Belov, Fyodor Ivlev

Average distance between two points in a unit-volume body $K \subset R^{n}$ tends to infinity as $n \to \infty$ . However, for two small subsets of volume $ε > 0$ t…

math.MG2021

Two-dimensional self-interlocking structures in three-space

Vassily O. Manturov, Alexei Kanel-Belov, Seongjeong Kim

It is well known that if there exists a finite set of convex bodies on the plane with non-overlapping interiors, then there is at least one "extremal" one among them, i.e., some on…

math.MG2008

Interlocking of convex polyhedra: towards a geometric theory of fragmented solids

A. J. Kanel-Belov, A. V. Dyskin, Y. Estrin +2

We present structures comprised of identical convex polyhedra which are interlocked geometrically. These sets cannot be disassembled by removing individual polyhedra by translation…

Dimension-free estimates on distances between subsets of volume ε inside a unit-volume body

Two-dimensional self-interlocking structures in three-space

Interlocking of convex polyhedra: towards a geometric theory of fragmented solids

Dimension-free estimates on distances between subsets of volume $ε$ inside a unit-volume body